807 lines
26 KiB
C++
807 lines
26 KiB
C++
/*
|
|
* This file is part of RawTherapee.
|
|
*
|
|
* Copyright (c) 2004-2010 Gabor Horvath <hgabor@rawtherapee.com>
|
|
*
|
|
* RawTherapee is free software: you can redistribute it and/or modify
|
|
* it under the terms of the GNU General Public License as published by
|
|
* the Free Software Foundation, either version 3 of the License, or
|
|
* (at your option) any later version.
|
|
*
|
|
* RawTherapee is distributed in the hope that it will be useful,
|
|
* but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
* GNU General Public License for more details.
|
|
*
|
|
* You should have received a copy of the GNU General Public License
|
|
* along with RawTherapee. If not, see <http://www.gnu.org/licenses/>.
|
|
*/
|
|
#ifndef _GAUSS_H_
|
|
#define _GAUSS_H_
|
|
|
|
#include <cstdlib>
|
|
#include <cstring>
|
|
#include <cmath>
|
|
#include "opthelper.h"
|
|
#include "stdio.h"
|
|
#include "boxblur.h"
|
|
// classical filtering if the support window is small:
|
|
|
|
template<class T> void gaussHorizontal3 (T** src, T** dst, int W, int H, const float c0, const float c1)
|
|
{
|
|
|
|
#ifdef _OPENMP
|
|
#pragma omp for
|
|
#endif
|
|
|
|
for (int i = 0; i < H; i++) {
|
|
T temp[W] ALIGNED16;
|
|
|
|
for (int j = 1; j < W - 1; j++) {
|
|
temp[j] = (T)(c1 * (src[i][j - 1] + src[i][j + 1]) + c0 * src[i][j]);
|
|
}
|
|
|
|
dst[i][0] = src[i][0];
|
|
memcpy (dst[i] + 1, temp + 1, (W - 2)*sizeof(T));
|
|
|
|
dst[i][W - 1] = src[i][W - 1];
|
|
}
|
|
}
|
|
|
|
template<class T> void gaussVertical3 (T** src, T** dst, int W, int H, const float c0, const float c1)
|
|
{
|
|
|
|
#ifdef _OPENMP
|
|
#pragma omp for
|
|
#endif
|
|
|
|
for (int i = 0; i < W; i++) {
|
|
T temp[H] ALIGNED16;
|
|
|
|
for (int j = 1; j < H - 1; j++) {
|
|
temp[j] = (T)(c1 * (src[j - 1][i] + src[j + 1][i]) + c0 * src[j][i]);
|
|
}
|
|
|
|
dst[0][i] = src[0][i];
|
|
|
|
for (int j = 1; j < H - 1; j++) {
|
|
dst[j][i] = temp[j];
|
|
}
|
|
|
|
dst[H - 1][i] = src[H - 1][i];
|
|
}
|
|
}
|
|
|
|
#ifdef __SSE2__
|
|
template<class T> SSEFUNCTION void gaussVertical3Sse (T** src, T** dst, int W, int H, const float c0, const float c1)
|
|
{
|
|
vfloat Tv, Tm1v, Tp1v;
|
|
vfloat c0v, c1v;
|
|
c0v = F2V(c0);
|
|
c1v = F2V(c1);
|
|
#ifdef _OPENMP
|
|
#pragma omp for
|
|
#endif
|
|
|
|
for (int i = 0; i < W - 3; i += 4) {
|
|
Tm1v = LVFU( src[0][i] );
|
|
STVFU( dst[0][i], Tm1v);
|
|
|
|
if (H > 1) {
|
|
Tv = LVFU( src[1][i]);
|
|
}
|
|
|
|
for (int j = 1; j < H - 1; j++) {
|
|
Tp1v = LVFU( src[j + 1][i]);
|
|
STVFU( dst[j][i], c1v * (Tp1v + Tm1v) + Tv * c0v);
|
|
Tm1v = Tv;
|
|
Tv = Tp1v;
|
|
}
|
|
|
|
STVFU( dst[H - 1][i], LVFU( src[H - 1][i]));
|
|
}
|
|
|
|
// Borders are done without SSE
|
|
#ifdef _OPENMP
|
|
#pragma omp for
|
|
#endif
|
|
|
|
for (int i = W - (W % 4); i < W; i++) {
|
|
dst[0][i] = src[0][i];
|
|
|
|
for (int j = 1; j < H - 1; j++) {
|
|
dst[j][i] = c1 * (src[j - 1][i] + src[j + 1][i]) + c0 * src[j][i];
|
|
}
|
|
|
|
dst[H - 1][i] = src[H - 1][i];
|
|
}
|
|
}
|
|
|
|
|
|
template<class T> SSEFUNCTION void gaussHorizontal3Sse (T** src, T** dst, int W, int H, const float c0, const float c1)
|
|
{
|
|
float tmp[W][4] ALIGNED16;
|
|
|
|
vfloat Tv, Tm1v, Tp1v;
|
|
vfloat c0v, c1v;
|
|
c0v = F2V(c0);
|
|
c1v = F2V(c1);
|
|
#ifdef _OPENMP
|
|
#pragma omp for
|
|
#endif
|
|
|
|
for (int i = 0; i < H - 3; i += 4) {
|
|
dst[i][0] = src[i][0];
|
|
dst[i + 1][0] = src[i + 1][0];
|
|
dst[i + 2][0] = src[i + 2][0];
|
|
dst[i + 3][0] = src[i + 3][0];
|
|
Tm1v = _mm_set_ps( src[i][0], src[i + 1][0], src[i + 2][0], src[i + 3][0] );
|
|
|
|
if (W > 1) {
|
|
Tv = _mm_set_ps( src[i][1], src[i + 1][1], src[i + 2][1], src[i + 3][1] );
|
|
}
|
|
|
|
for (int j = 1; j < W - 1; j++) {
|
|
Tp1v = _mm_set_ps( src[i][j + 1], src[i + 1][j + 1], src[i + 2][j + 1], src[i + 3][j + 1] );
|
|
STVF( tmp[j][0], c1v * (Tp1v + Tm1v) + Tv * c0v);
|
|
Tm1v = Tv;
|
|
Tv = Tp1v;
|
|
}
|
|
|
|
for (int j = 1; j < W - 1; j++) {
|
|
dst[i + 3][j] = tmp[j][0];
|
|
dst[i + 2][j] = tmp[j][1];
|
|
dst[i + 1][j] = tmp[j][2];
|
|
dst[i][j] = tmp[j][3];
|
|
}
|
|
|
|
dst[i][W - 1] = src[i][W - 1];
|
|
dst[i + 1][W - 1] = src[i + 1][W - 1];
|
|
dst[i + 2][W - 1] = src[i + 2][W - 1];
|
|
dst[i + 3][W - 1] = src[i + 3][W - 1];
|
|
}
|
|
|
|
// Borders are done without SSE
|
|
#ifdef _OPENMP
|
|
#pragma omp for
|
|
#endif
|
|
|
|
for (int i = H - (H % 4); i < H; i++) {
|
|
dst[i][0] = src[i][0];
|
|
|
|
for (int j = 1; j < W - 1; j++) {
|
|
dst[i][j] = c1 * (src[i][j - 1] + src[i][j + 1]) + c0 * src[i][j];
|
|
}
|
|
|
|
dst[i][W - 1] = src[i][W - 1];
|
|
}
|
|
}
|
|
|
|
|
|
|
|
// fast gaussian approximation if the support window is large
|
|
template<class T> SSEFUNCTION void gaussHorizontalSse (T** src, T** dst, int W, int H, float sigma)
|
|
{
|
|
|
|
if (sigma < 0.25) {
|
|
// dont perform filtering
|
|
if (src != dst)
|
|
#ifdef _OPENMP
|
|
#pragma omp for
|
|
#endif
|
|
for (int i = 0; i < H; i++) {
|
|
memcpy (dst[i], src[i], W * sizeof(T));
|
|
}
|
|
|
|
return;
|
|
}
|
|
|
|
if (sigma < 0.6) {
|
|
// compute 3x3 kernel
|
|
float c1 = exp (-1.0 / (2.0 * sigma * sigma));
|
|
float csum = 2.0 * c1 + 1.0;
|
|
c1 /= csum;
|
|
float c0 = 1.0 / csum;
|
|
gaussHorizontal3Sse<T> (src, dst, W, H, c0, c1);
|
|
return;
|
|
}
|
|
|
|
// coefficient calculation
|
|
float q = 0.98711 * sigma - 0.96330;
|
|
|
|
if (sigma < 2.5) {
|
|
q = 3.97156 - 4.14554 * sqrt (1.0 - 0.26891 * sigma);
|
|
}
|
|
|
|
float b0 = 1.57825 + 2.44413 * q + 1.4281 * q * q + 0.422205 * q * q * q;
|
|
float b1 = 2.44413 * q + 2.85619 * q * q + 1.26661 * q * q * q;
|
|
float b2 = -1.4281 * q * q - 1.26661 * q * q * q;
|
|
float b3 = 0.422205 * q * q * q;
|
|
float B = 1.0 - (b1 + b2 + b3) / b0;
|
|
|
|
b1 /= b0;
|
|
b2 /= b0;
|
|
b3 /= b0;
|
|
|
|
// From: Bill Triggs, Michael Sdika: Boundary Conditions for Young-van Vliet Recursive Filtering
|
|
float M[3][3];
|
|
M[0][0] = -b3 * b1 + 1.0 - b3 * b3 - b2;
|
|
M[0][1] = (b3 + b1) * (b2 + b3 * b1);
|
|
M[0][2] = b3 * (b1 + b3 * b2);
|
|
M[1][0] = b1 + b3 * b2;
|
|
M[1][1] = -(b2 - 1.0) * (b2 + b3 * b1);
|
|
M[1][2] = -(b3 * b1 + b3 * b3 + b2 - 1.0) * b3;
|
|
M[2][0] = b3 * b1 + b2 + b1 * b1 - b2 * b2;
|
|
M[2][1] = b1 * b2 + b3 * b2 * b2 - b1 * b3 * b3 - b3 * b3 * b3 - b3 * b2 + b3;
|
|
M[2][2] = b3 * (b1 + b3 * b2);
|
|
|
|
for (int i = 0; i < 3; i++)
|
|
for (int j = 0; j < 3; j++) {
|
|
M[i][j] *= (1.0 + b2 + (b1 - b3) * b3);
|
|
M[i][j] /= (1.0 + b1 - b2 + b3) * (1.0 - b1 - b2 - b3);
|
|
}
|
|
|
|
vfloat Rv;
|
|
vfloat Tv, Tm2v, Tm3v;
|
|
vfloat Bv, b1v, b2v, b3v;
|
|
vfloat temp2W, temp2Wp1;
|
|
float tmp[W][4] ALIGNED16;
|
|
float tmpV[4] ALIGNED16;
|
|
Bv = F2V(B);
|
|
b1v = F2V(b1);
|
|
b2v = F2V(b2);
|
|
b3v = F2V(b3);
|
|
|
|
#ifdef _OPENMP
|
|
#pragma omp for
|
|
#endif
|
|
|
|
for (int i = 0; i < H - 3; i += 4) {
|
|
tmpV[0] = src[i + 3][0];
|
|
tmpV[1] = src[i + 2][0];
|
|
tmpV[2] = src[i + 1][0];
|
|
tmpV[3] = src[i][0];
|
|
Tv = LVF(tmpV[0]);
|
|
Rv = Tv * (Bv + b1v + b2v + b3v);
|
|
Tm3v = Rv;
|
|
STVF( tmp[0][0], Rv );
|
|
|
|
tmpV[0] = src[i + 3][1];
|
|
tmpV[1] = src[i + 2][1];
|
|
tmpV[2] = src[i + 1][1];
|
|
tmpV[3] = src[i][1];
|
|
Rv = LVF(tmpV[0]) * Bv + Rv * b1v + Tv * (b2v + b3v);
|
|
Tm2v = Rv;
|
|
STVF( tmp[1][0], Rv );
|
|
|
|
tmpV[0] = src[i + 3][2];
|
|
tmpV[1] = src[i + 2][2];
|
|
tmpV[2] = src[i + 1][2];
|
|
tmpV[3] = src[i][2];
|
|
Rv = LVF(tmpV[0]) * Bv + Rv * b1v + Tm3v * b2v + Tv * b3v;
|
|
STVF( tmp[2][0], Rv );
|
|
|
|
for (int j = 3; j < W; j++) {
|
|
Tv = Rv;
|
|
Rv = _mm_set_ps(src[i][j], src[i + 1][j], src[i + 2][j], src[i + 3][j]) * Bv + Tv * b1v + Tm2v * b2v + Tm3v * b3v;
|
|
STVF( tmp[j][0], Rv );
|
|
Tm3v = Tm2v;
|
|
Tm2v = Tv;
|
|
}
|
|
|
|
Tv = _mm_set_ps(src[i][W - 1], src[i + 1][W - 1], src[i + 2][W - 1], src[i + 3][W - 1]);
|
|
|
|
temp2Wp1 = Tv + F2V(M[2][0]) * (Rv - Tv) + F2V(M[2][1]) * ( Tm2v - Tv ) + F2V(M[2][2]) * (Tm3v - Tv);
|
|
temp2W = Tv + F2V(M[1][0]) * (Rv - Tv) + F2V(M[1][1]) * (Tm2v - Tv) + F2V(M[1][2]) * (Tm3v - Tv);
|
|
|
|
Rv = Tv + F2V(M[0][0]) * (Rv - Tv) + F2V(M[0][1]) * (Tm2v - Tv) + F2V(M[0][2]) * (Tm3v - Tv);
|
|
STVF( tmp[W - 1][0], Rv );
|
|
|
|
Tm2v = Bv * Tm2v + b1v * Rv + b2v * temp2W + b3v * temp2Wp1;
|
|
STVF( tmp[W - 2][0], Tm2v );
|
|
|
|
Tm3v = Bv * Tm3v + b1v * Tm2v + b2v * Rv + b3v * temp2W;
|
|
STVF( tmp[W - 3][0], Tm3v );
|
|
|
|
Tv = Rv;
|
|
Rv = Tm3v;
|
|
Tm3v = Tv;
|
|
|
|
for (int j = W - 4; j >= 0; j--) {
|
|
Tv = Rv;
|
|
Rv = LVF(tmp[j][0]) * Bv + Tv * b1v + Tm2v * b2v + Tm3v * b3v;
|
|
STVF( tmp[j][0], Rv );
|
|
Tm3v = Tm2v;
|
|
Tm2v = Tv;
|
|
}
|
|
|
|
for (int j = 0; j < W; j++) {
|
|
dst[i + 3][j] = tmp[j][0];
|
|
dst[i + 2][j] = tmp[j][1];
|
|
dst[i + 1][j] = tmp[j][2];
|
|
dst[i][j] = tmp[j][3];
|
|
}
|
|
|
|
|
|
}
|
|
|
|
// Borders are done without SSE
|
|
#ifdef _OPENMP
|
|
#pragma omp for
|
|
#endif
|
|
|
|
for (int i = H - (H % 4); i < H; i++) {
|
|
tmp[0][0] = B * src[i][0] + b1 * src[i][0] + b2 * src[i][0] + b3 * src[i][0];
|
|
tmp[1][0] = B * src[i][1] + b1 * tmp[0][0] + b2 * src[i][0] + b3 * src[i][0];
|
|
tmp[2][0] = B * src[i][2] + b1 * tmp[1][0] + b2 * tmp[0][0] + b3 * src[i][0];
|
|
|
|
for (int j = 3; j < W; j++) {
|
|
tmp[j][0] = B * src[i][j] + b1 * tmp[j - 1][0] + b2 * tmp[j - 2][0] + b3 * tmp[j - 3][0];
|
|
}
|
|
|
|
float temp2Wm1 = src[i][W - 1] + M[0][0] * (tmp[W - 1][0] - src[i][W - 1]) + M[0][1] * (tmp[W - 2][0] - src[i][W - 1]) + M[0][2] * (tmp[W - 3][0] - src[i][W - 1]);
|
|
float temp2W = src[i][W - 1] + M[1][0] * (tmp[W - 1][0] - src[i][W - 1]) + M[1][1] * (tmp[W - 2][0] - src[i][W - 1]) + M[1][2] * (tmp[W - 3][0] - src[i][W - 1]);
|
|
float temp2Wp1 = src[i][W - 1] + M[2][0] * (tmp[W - 1][0] - src[i][W - 1]) + M[2][1] * (tmp[W - 2][0] - src[i][W - 1]) + M[2][2] * (tmp[W - 3][0] - src[i][W - 1]);
|
|
|
|
tmp[W - 1][0] = temp2Wm1;
|
|
tmp[W - 2][0] = B * tmp[W - 2][0] + b1 * tmp[W - 1][0] + b2 * temp2W + b3 * temp2Wp1;
|
|
tmp[W - 3][0] = B * tmp[W - 3][0] + b1 * tmp[W - 2][0] + b2 * tmp[W - 1][0] + b3 * temp2W;
|
|
|
|
for (int j = W - 4; j >= 0; j--) {
|
|
tmp[j][0] = B * tmp[j][0] + b1 * tmp[j + 1][0] + b2 * tmp[j + 2][0] + b3 * tmp[j + 3][0];
|
|
}
|
|
|
|
for (int j = 0; j < W; j++) {
|
|
dst[i][j] = tmp[j][0];
|
|
}
|
|
|
|
}
|
|
}
|
|
#endif
|
|
|
|
// fast gaussian approximation if the support window is large
|
|
|
|
template<class T> void gaussHorizontal (T** src, T** dst, int W, int H, double sigma)
|
|
{
|
|
|
|
#ifdef __SSE2__
|
|
|
|
if (sigma < 70) { // bigger sigma only with double precision
|
|
gaussHorizontalSse<T> (src, dst, W, H, sigma);
|
|
return;
|
|
}
|
|
|
|
#endif
|
|
|
|
if (sigma < 0.25) {
|
|
// dont perform filtering
|
|
if (src != dst)
|
|
#ifdef _OPENMP
|
|
#pragma omp for
|
|
#endif
|
|
for (int i = 0; i < H; i++) {
|
|
memcpy (dst[i], src[i], W * sizeof(T));
|
|
}
|
|
|
|
return;
|
|
}
|
|
|
|
if (sigma < 0.6) {
|
|
// compute 3x3 kernel
|
|
double c1 = exp (-1.0 / (2.0 * sigma * sigma));
|
|
double csum = 2.0 * c1 + 1.0;
|
|
c1 /= csum;
|
|
double c0 = 1.0 / csum;
|
|
gaussHorizontal3<T> (src, dst, W, H, c0, c1);
|
|
return;
|
|
}
|
|
|
|
// coefficient calculation
|
|
double q = 0.98711 * sigma - 0.96330;
|
|
|
|
if (sigma < 2.5) {
|
|
q = 3.97156 - 4.14554 * sqrt (1.0 - 0.26891 * sigma);
|
|
}
|
|
|
|
double b0 = 1.57825 + 2.44413 * q + 1.4281 * q * q + 0.422205 * q * q * q;
|
|
double b1 = 2.44413 * q + 2.85619 * q * q + 1.26661 * q * q * q;
|
|
double b2 = -1.4281 * q * q - 1.26661 * q * q * q;
|
|
double b3 = 0.422205 * q * q * q;
|
|
double B = 1.0 - (b1 + b2 + b3) / b0;
|
|
|
|
b1 /= b0;
|
|
b2 /= b0;
|
|
b3 /= b0;
|
|
|
|
// From: Bill Triggs, Michael Sdika: Boundary Conditions for Young-van Vliet Recursive Filtering
|
|
double M[3][3];
|
|
M[0][0] = -b3 * b1 + 1.0 - b3 * b3 - b2;
|
|
M[0][1] = (b3 + b1) * (b2 + b3 * b1);
|
|
M[0][2] = b3 * (b1 + b3 * b2);
|
|
M[1][0] = b1 + b3 * b2;
|
|
M[1][1] = -(b2 - 1.0) * (b2 + b3 * b1);
|
|
M[1][2] = -(b3 * b1 + b3 * b3 + b2 - 1.0) * b3;
|
|
M[2][0] = b3 * b1 + b2 + b1 * b1 - b2 * b2;
|
|
M[2][1] = b1 * b2 + b3 * b2 * b2 - b1 * b3 * b3 - b3 * b3 * b3 - b3 * b2 + b3;
|
|
M[2][2] = b3 * (b1 + b3 * b2);
|
|
|
|
for (int i = 0; i < 3; i++)
|
|
for (int j = 0; j < 3; j++) {
|
|
M[i][j] /= (1.0 + b1 - b2 + b3) * (1.0 + b2 + (b1 - b3) * b3);
|
|
}
|
|
|
|
double temp2[W] ALIGNED16;
|
|
|
|
#ifdef _OPENMP
|
|
#pragma omp for
|
|
#endif
|
|
|
|
for (int i = 0; i < H; i++) {
|
|
|
|
temp2[0] = B * src[i][0] + b1 * src[i][0] + b2 * src[i][0] + b3 * src[i][0];
|
|
temp2[1] = B * src[i][1] + b1 * temp2[0] + b2 * src[i][0] + b3 * src[i][0];
|
|
temp2[2] = B * src[i][2] + b1 * temp2[1] + b2 * temp2[0] + b3 * src[i][0];
|
|
|
|
for (int j = 3; j < W; j++) {
|
|
temp2[j] = B * src[i][j] + b1 * temp2[j - 1] + b2 * temp2[j - 2] + b3 * temp2[j - 3];
|
|
}
|
|
|
|
double temp2Wm1 = src[i][W - 1] + M[0][0] * (temp2[W - 1] - src[i][W - 1]) + M[0][1] * (temp2[W - 2] - src[i][W - 1]) + M[0][2] * (temp2[W - 3] - src[i][W - 1]);
|
|
double temp2W = src[i][W - 1] + M[1][0] * (temp2[W - 1] - src[i][W - 1]) + M[1][1] * (temp2[W - 2] - src[i][W - 1]) + M[1][2] * (temp2[W - 3] - src[i][W - 1]);
|
|
double temp2Wp1 = src[i][W - 1] + M[2][0] * (temp2[W - 1] - src[i][W - 1]) + M[2][1] * (temp2[W - 2] - src[i][W - 1]) + M[2][2] * (temp2[W - 3] - src[i][W - 1]);
|
|
|
|
temp2[W - 1] = temp2Wm1;
|
|
temp2[W - 2] = B * temp2[W - 2] + b1 * temp2[W - 1] + b2 * temp2W + b3 * temp2Wp1;
|
|
temp2[W - 3] = B * temp2[W - 3] + b1 * temp2[W - 2] + b2 * temp2[W - 1] + b3 * temp2W;
|
|
|
|
for (int j = W - 4; j >= 0; j--) {
|
|
temp2[j] = B * temp2[j] + b1 * temp2[j + 1] + b2 * temp2[j + 2] + b3 * temp2[j + 3];
|
|
}
|
|
|
|
for (int j = 0; j < W; j++) {
|
|
dst[i][j] = (T)temp2[j];
|
|
}
|
|
|
|
}
|
|
}
|
|
|
|
#ifdef __SSE2__
|
|
template<class T> SSEFUNCTION void gaussVerticalSse (T** src, T** dst, int W, int H, float sigma)
|
|
{
|
|
|
|
if (sigma < 0.25) {
|
|
// dont perform filtering
|
|
if (src != dst)
|
|
#ifdef _OPENMP
|
|
#pragma omp for
|
|
#endif
|
|
for (int i = 0; i < H; i++) {
|
|
memcpy (dst[i], src[i], W * sizeof(T));
|
|
}
|
|
|
|
return;
|
|
}
|
|
|
|
if (sigma < 0.6) {
|
|
// compute 3x3 kernel
|
|
double c1 = exp (-1.0 / (2.0 * sigma * sigma));
|
|
double csum = 2.0 * c1 + 1.0;
|
|
c1 /= csum;
|
|
double c0 = 1.0 / csum;
|
|
gaussVertical3Sse<T> (src, dst, W, H, c0, c1);
|
|
return;
|
|
}
|
|
|
|
// coefficient calculation
|
|
double q = 0.98711 * sigma - 0.96330;
|
|
|
|
if (sigma < 2.5) {
|
|
q = 3.97156 - 4.14554 * sqrt (1.0 - 0.26891 * sigma);
|
|
}
|
|
|
|
double b0 = 1.57825 + 2.44413 * q + 1.4281 * q * q + 0.422205 * q * q * q;
|
|
double b1 = 2.44413 * q + 2.85619 * q * q + 1.26661 * q * q * q;
|
|
double b2 = -1.4281 * q * q - 1.26661 * q * q * q;
|
|
double b3 = 0.422205 * q * q * q;
|
|
double B = 1.0 - (b1 + b2 + b3) / b0;
|
|
|
|
b1 /= b0;
|
|
b2 /= b0;
|
|
b3 /= b0;
|
|
|
|
// From: Bill Triggs, Michael Sdika: Boundary Conditions for Young-van Vliet Recursive Filtering
|
|
double M[3][3];
|
|
M[0][0] = -b3 * b1 + 1.0 - b3 * b3 - b2;
|
|
M[0][1] = (b3 + b1) * (b2 + b3 * b1);
|
|
M[0][2] = b3 * (b1 + b3 * b2);
|
|
M[1][0] = b1 + b3 * b2;
|
|
M[1][1] = -(b2 - 1.0) * (b2 + b3 * b1);
|
|
M[1][2] = -(b3 * b1 + b3 * b3 + b2 - 1.0) * b3;
|
|
M[2][0] = b3 * b1 + b2 + b1 * b1 - b2 * b2;
|
|
M[2][1] = b1 * b2 + b3 * b2 * b2 - b1 * b3 * b3 - b3 * b3 * b3 - b3 * b2 + b3;
|
|
M[2][2] = b3 * (b1 + b3 * b2);
|
|
|
|
for (int i = 0; i < 3; i++)
|
|
for (int j = 0; j < 3; j++) {
|
|
M[i][j] *= (1.0 + b2 + (b1 - b3) * b3);
|
|
M[i][j] /= (1.0 + b1 - b2 + b3) * (1.0 - b1 - b2 - b3);
|
|
}
|
|
|
|
float tmp[H][4] ALIGNED16;
|
|
vfloat Rv;
|
|
vfloat Tv, Tm2v, Tm3v;
|
|
vfloat Bv, b1v, b2v, b3v;
|
|
vfloat temp2W, temp2Wp1;
|
|
Bv = F2V(B);
|
|
b1v = F2V(b1);
|
|
b2v = F2V(b2);
|
|
b3v = F2V(b3);
|
|
|
|
|
|
#ifdef _OPENMP
|
|
#pragma omp for
|
|
#endif
|
|
|
|
for (int i = 0; i < W - 3; i += 4) {
|
|
Tv = LVFU( src[0][i]);
|
|
Rv = Tv * (Bv + b1v + b2v + b3v);
|
|
Tm3v = Rv;
|
|
STVF( tmp[0][0], Rv );
|
|
|
|
Rv = LVFU(src[1][i]) * Bv + Rv * b1v + Tv * (b2v + b3v);
|
|
Tm2v = Rv;
|
|
STVF( tmp[1][0], Rv );
|
|
|
|
Rv = LVFU(src[2][i]) * Bv + Rv * b1v + Tm3v * b2v + Tv * b3v;
|
|
STVF( tmp[2][0], Rv );
|
|
|
|
for (int j = 3; j < H; j++) {
|
|
Tv = Rv;
|
|
Rv = LVFU(src[j][i]) * Bv + Tv * b1v + Tm2v * b2v + Tm3v * b3v;
|
|
STVF( tmp[j][0], Rv );
|
|
Tm3v = Tm2v;
|
|
Tm2v = Tv;
|
|
}
|
|
|
|
Tv = LVFU(src[H - 1][i]);
|
|
|
|
temp2Wp1 = Tv + F2V(M[2][0]) * (Rv - Tv) + F2V(M[2][1]) * (Tm2v - Tv) + F2V(M[2][2]) * (Tm3v - Tv);
|
|
temp2W = Tv + F2V(M[1][0]) * (Rv - Tv) + F2V(M[1][1]) * (Tm2v - Tv) + F2V(M[1][2]) * (Tm3v - Tv);
|
|
|
|
Rv = Tv + F2V(M[0][0]) * (Rv - Tv) + F2V(M[0][1]) * (Tm2v - Tv) + F2V(M[0][2]) * (Tm3v - Tv);
|
|
STVFU( dst[H - 1][i], Rv );
|
|
|
|
Tm2v = Bv * Tm2v + b1v * Rv + b2v * temp2W + b3v * temp2Wp1;
|
|
STVFU( dst[H - 2][i], Tm2v );
|
|
|
|
Tm3v = Bv * Tm3v + b1v * Tm2v + b2v * Rv + b3v * temp2W;
|
|
STVFU( dst[H - 3][i], Tm3v );
|
|
|
|
Tv = Rv;
|
|
Rv = Tm3v;
|
|
Tm3v = Tv;
|
|
|
|
for (int j = H - 4; j >= 0; j--) {
|
|
Tv = Rv;
|
|
Rv = LVF(tmp[j][0]) * Bv + Tv * b1v + Tm2v * b2v + Tm3v * b3v;
|
|
STVFU( dst[j][i], Rv );
|
|
Tm3v = Tm2v;
|
|
Tm2v = Tv;
|
|
}
|
|
}
|
|
|
|
// Borders are done without SSE
|
|
#ifdef _OPENMP
|
|
#pragma omp for
|
|
#endif
|
|
|
|
for (int i = W - (W % 4); i < W; i++) {
|
|
tmp[0][0] = B * src[0][i] + b1 * src[0][i] + b2 * src[0][i] + b3 * src[0][i];
|
|
tmp[1][0] = B * src[1][i] + b1 * tmp[0][0] + b2 * src[0][i] + b3 * src[0][i];
|
|
tmp[2][0] = B * src[2][i] + b1 * tmp[1][0] + b2 * tmp[0][0] + b3 * src[0][i];
|
|
|
|
for (int j = 3; j < H; j++) {
|
|
tmp[j][0] = B * src[j][i] + b1 * tmp[j - 1][0] + b2 * tmp[j - 2][0] + b3 * tmp[j - 3][0];
|
|
}
|
|
|
|
float temp2Hm1 = src[H - 1][i] + M[0][0] * (tmp[H - 1][0] - src[H - 1][i]) + M[0][1] * (tmp[H - 2][0] - src[H - 1][i]) + M[0][2] * (tmp[H - 3][0] - src[H - 1][i]);
|
|
float temp2H = src[H - 1][i] + M[1][0] * (tmp[H - 1][0] - src[H - 1][i]) + M[1][1] * (tmp[H - 2][0] - src[H - 1][i]) + M[1][2] * (tmp[H - 3][0] - src[H - 1][i]);
|
|
float temp2Hp1 = src[H - 1][i] + M[2][0] * (tmp[H - 1][0] - src[H - 1][i]) + M[2][1] * (tmp[H - 2][0] - src[H - 1][i]) + M[2][2] * (tmp[H - 3][0] - src[H - 1][i]);
|
|
|
|
tmp[H - 1][0] = temp2Hm1;
|
|
tmp[H - 2][0] = B * tmp[H - 2][0] + b1 * tmp[H - 1][0] + b2 * temp2H + b3 * temp2Hp1;
|
|
tmp[H - 3][0] = B * tmp[H - 3][0] + b1 * tmp[H - 2][0] + b2 * tmp[H - 1][0] + b3 * temp2H;
|
|
|
|
for (int j = H - 4; j >= 0; j--) {
|
|
tmp[j][0] = B * tmp[j][0] + b1 * tmp[j + 1][0] + b2 * tmp[j + 2][0] + b3 * tmp[j + 3][0];
|
|
}
|
|
|
|
for (int j = 0; j < H; j++) {
|
|
dst[j][i] = tmp[j][0];
|
|
}
|
|
|
|
}
|
|
}
|
|
|
|
#endif
|
|
|
|
template<class T> void gaussVertical (T** src, T** dst, int W, int H, double sigma)
|
|
{
|
|
|
|
#ifdef __SSE2__
|
|
|
|
if (sigma < 70) { // bigger sigma only with double precision
|
|
gaussVerticalSse<T> (src, dst, W, H, sigma);
|
|
return;
|
|
}
|
|
|
|
#endif
|
|
|
|
if (sigma < 0.25) {
|
|
// don't perform filtering
|
|
if (src != dst)
|
|
#ifdef _OPENMP
|
|
#pragma omp for
|
|
#endif
|
|
for (int i = 0; i < H; i++) {
|
|
memcpy (dst[i], src[i], W * sizeof(T));
|
|
}
|
|
|
|
return;
|
|
}
|
|
|
|
if (sigma < 0.6) {
|
|
// compute 3x3 kernel
|
|
double c1 = exp (-1.0 / (2.0 * sigma * sigma));
|
|
double csum = 2.0 * c1 + 1.0;
|
|
c1 /= csum;
|
|
double c0 = 1.0 / csum;
|
|
gaussVertical3<T> (src, dst, W, H, c0, c1);
|
|
return;
|
|
}
|
|
|
|
// coefficient calculation
|
|
double q = 0.98711 * sigma - 0.96330;
|
|
|
|
if (sigma < 2.5) {
|
|
q = 3.97156 - 4.14554 * sqrt (1.0 - 0.26891 * sigma);
|
|
}
|
|
|
|
double b0 = 1.57825 + 2.44413 * q + 1.4281 * q * q + 0.422205 * q * q * q;
|
|
double b1 = 2.44413 * q + 2.85619 * q * q + 1.26661 * q * q * q;
|
|
double b2 = -1.4281 * q * q - 1.26661 * q * q * q;
|
|
double b3 = 0.422205 * q * q * q;
|
|
double B = 1.0 - (b1 + b2 + b3) / b0;
|
|
|
|
b1 /= b0;
|
|
b2 /= b0;
|
|
b3 /= b0;
|
|
|
|
// From: Bill Triggs, Michael Sdika: Boundary Conditions for Young-van Vliet Recursive Filtering
|
|
double M[3][3];
|
|
M[0][0] = -b3 * b1 + 1.0 - b3 * b3 - b2;
|
|
M[0][1] = (b3 + b1) * (b2 + b3 * b1);
|
|
M[0][2] = b3 * (b1 + b3 * b2);
|
|
M[1][0] = b1 + b3 * b2;
|
|
M[1][1] = -(b2 - 1.0) * (b2 + b3 * b1);
|
|
M[1][2] = -(b3 * b1 + b3 * b3 + b2 - 1.0) * b3;
|
|
M[2][0] = b3 * b1 + b2 + b1 * b1 - b2 * b2;
|
|
M[2][1] = b1 * b2 + b3 * b2 * b2 - b1 * b3 * b3 - b3 * b3 * b3 - b3 * b2 + b3;
|
|
M[2][2] = b3 * (b1 + b3 * b2);
|
|
|
|
for (int i = 0; i < 3; i++)
|
|
for (int j = 0; j < 3; j++) {
|
|
M[i][j] /= (1.0 + b1 - b2 + b3) * (1.0 + b2 + (b1 - b3) * b3);
|
|
}
|
|
|
|
// process 'numcols' columns for better usage of L1 cpu cache (especially faster for large values of H)
|
|
static const int numcols = 8;
|
|
double temp2[H][numcols] ALIGNED16;
|
|
double temp2Hm1[numcols], temp2H[numcols], temp2Hp1[numcols];
|
|
#ifdef _OPENMP
|
|
#pragma omp for nowait
|
|
#endif
|
|
|
|
for (int i = 0; i < W - numcols + 1; i += numcols) {
|
|
for (int k = 0; k < numcols; k++) {
|
|
temp2[0][k] = B * src[0][i + k] + b1 * src[0][i + k] + b2 * src[0][i + k] + b3 * src[0][i + k];
|
|
temp2[1][k] = B * src[1][i + k] + b1 * temp2[0][k] + b2 * src[0][i + k] + b3 * src[0][i + k];
|
|
temp2[2][k] = B * src[2][i + k] + b1 * temp2[1][k] + b2 * temp2[0][k] + b3 * src[0][i + k];
|
|
}
|
|
|
|
for (int j = 3; j < H; j++) {
|
|
for (int k = 0; k < numcols; k++) {
|
|
temp2[j][k] = B * src[j][i + k] + b1 * temp2[j - 1][k] + b2 * temp2[j - 2][k] + b3 * temp2[j - 3][k];
|
|
}
|
|
}
|
|
|
|
for (int k = 0; k < numcols; k++) {
|
|
temp2Hm1[k] = src[H - 1][i + k] + M[0][0] * (temp2[H - 1][k] - src[H - 1][i + k]) + M[0][1] * (temp2[H - 2][k] - src[H - 1][i + k]) + M[0][2] * (temp2[H - 3][k] - src[H - 1][i + k]);
|
|
temp2H[k] = src[H - 1][i + k] + M[1][0] * (temp2[H - 1][k] - src[H - 1][i + k]) + M[1][1] * (temp2[H - 2][k] - src[H - 1][i + k]) + M[1][2] * (temp2[H - 3][k] - src[H - 1][i + k]);
|
|
temp2Hp1[k] = src[H - 1][i + k] + M[2][0] * (temp2[H - 1][k] - src[H - 1][i + k]) + M[2][1] * (temp2[H - 2][k] - src[H - 1][i + k]) + M[2][2] * (temp2[H - 3][k] - src[H - 1][i + k]);
|
|
}
|
|
|
|
for (int k = 0; k < numcols; k++) {
|
|
dst[H - 1][i + k] = temp2[H - 1][k] = temp2Hm1[k];
|
|
dst[H - 2][i + k] = temp2[H - 2][k] = B * temp2[H - 2][k] + b1 * temp2[H - 1][k] + b2 * temp2H[k] + b3 * temp2Hp1[k];
|
|
dst[H - 3][i + k] = temp2[H - 3][k] = B * temp2[H - 3][k] + b1 * temp2[H - 2][k] + b2 * temp2[H - 1][k] + b3 * temp2H[k];
|
|
}
|
|
|
|
for (int j = H - 4; j >= 0; j--) {
|
|
for (int k = 0; k < numcols; k++) {
|
|
dst[j][i + k] = temp2[j][k] = B * temp2[j][k] + b1 * temp2[j + 1][k] + b2 * temp2[j + 2][k] + b3 * temp2[j + 3][k];
|
|
}
|
|
}
|
|
}
|
|
|
|
#ifdef _OPENMP
|
|
#pragma omp single
|
|
#endif
|
|
|
|
// process remaining column
|
|
for (int i = W - (W % numcols); i < W; i++) {
|
|
temp2[0][0] = B * src[0][i] + b1 * src[0][i] + b2 * src[0][i] + b3 * src[0][i];
|
|
temp2[1][0] = B * src[1][i] + b1 * temp2[0][0] + b2 * src[0][i] + b3 * src[0][i];
|
|
temp2[2][0] = B * src[2][i] + b1 * temp2[1][0] + b2 * temp2[0][0] + b3 * src[0][i];
|
|
|
|
for (int j = 3; j < H; j++) {
|
|
temp2[j][0] = B * src[j][i] + b1 * temp2[j - 1][0] + b2 * temp2[j - 2][0] + b3 * temp2[j - 3][0];
|
|
}
|
|
|
|
double temp2Hm1 = src[H - 1][i] + M[0][0] * (temp2[H - 1][0] - src[H - 1][i]) + M[0][1] * (temp2[H - 2][0] - src[H - 1][i]) + M[0][2] * (temp2[H - 3][0] - src[H - 1][i]);
|
|
double temp2H = src[H - 1][i] + M[1][0] * (temp2[H - 1][0] - src[H - 1][i]) + M[1][1] * (temp2[H - 2][0] - src[H - 1][i]) + M[1][2] * (temp2[H - 3][0] - src[H - 1][i]);
|
|
double temp2Hp1 = src[H - 1][i] + M[2][0] * (temp2[H - 1][0] - src[H - 1][i]) + M[2][1] * (temp2[H - 2][0] - src[H - 1][i]) + M[2][2] * (temp2[H - 3][0] - src[H - 1][i]);
|
|
|
|
dst[H - 1][i] = temp2[H - 1][0] = temp2Hm1;
|
|
dst[H - 2][i] = temp2[H - 2][0] = B * temp2[H - 2][0] + b1 * temp2[H - 1][0] + b2 * temp2H + b3 * temp2Hp1;
|
|
dst[H - 3][i] = temp2[H - 3][0] = B * temp2[H - 3][0] + b1 * temp2[H - 2][0] + b2 * temp2[H - 1][0] + b3 * temp2H;
|
|
|
|
for (int j = H - 4; j >= 0; j--) {
|
|
dst[j][i] = temp2[j][0] = B * temp2[j][0] + b1 * temp2[j + 1][0] + b2 * temp2[j + 2][0] + b3 * temp2[j + 3][0];
|
|
}
|
|
}
|
|
}
|
|
|
|
template<class T> void gaussianBlur(T** src, T** dst, const int W, const int H, const double sigma, T *buffer = NULL)
|
|
{
|
|
|
|
if(buffer) { // use iterated boxblur to approximate gaussian blur
|
|
// Compute ideal averaging filter width and number of iterations
|
|
int n = 1;
|
|
double wIdeal = sqrt((12*sigma*sigma)+1);
|
|
while(wIdeal > W || wIdeal > H) {
|
|
n++;
|
|
wIdeal = sqrt((12*sigma*sigma/n)+1);
|
|
}
|
|
|
|
if(n<3) {
|
|
n = 3;
|
|
wIdeal = sqrt((12*sigma*sigma/n)+1);
|
|
} else if(n>6)
|
|
n=6;
|
|
|
|
int wl = wIdeal;
|
|
if(wl%2==0) wl--;
|
|
int wu = wl+2;
|
|
|
|
double mIdeal = (12*sigma*sigma - n*wl*wl - 4*n*wl - 3*n)/(-4*wl - 4);
|
|
int m = round(mIdeal);
|
|
|
|
int sizes[n];
|
|
for(int i=0; i<n; i++) {
|
|
sizes[i] = ((i<m?wl:wu)-1)/2;
|
|
}
|
|
rtengine::boxblur(src,dst,buffer,sizes[0],sizes[0],W,H);
|
|
for(int i=1; i<n; i++) {
|
|
rtengine::boxblur(dst,dst,buffer, sizes[i],sizes[i],W,H);
|
|
}
|
|
|
|
} else {
|
|
gaussHorizontal<T> (src, dst, W, H, sigma);
|
|
gaussVertical<T> (dst, dst, W, H, sigma);
|
|
|
|
}
|
|
}
|
|
|
|
#endif
|